Fully strange tetraquark states with the exotic quantum numbers and
Hong-Zhou Xi (School of Physics, Southeast University, Nanjing 210094, China); Yi-Wei Jiang (School of Physics, Southeast University, Nanjing 210094, China); Hua-Xing Chen (School of Physics, Southeast University, Nanjing 210094, China); Atsushi Hosaka (Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki 567-0047, Japan, Advanced Science Research Center, Japan Atomic Energy Agency (JAEA), Tokai 319-1195, Japan); Niu Su (Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki 567-0047, Japan, School of Physics, Southeast University, Nanjing 210094, China)
We study the fully strange tetraquark states with the exotic quantum numbers and . We construct their corresponding diquark-antidiquark interpolating currents and apply the QCD sum rule method to calculate both their diagonal and off-diagonal correlation functions. The obtained results are used to construct some mixing currents that are nearly noncorrelated, from which we extract the masses of the lowest-lying states to be and . We apply the Fierz rearrangement to transform the diquark-antidiquark currents to be the combinations of meson-meson currents, and the obtained Fierz identities indicate that these two states may be searched for in the -wave channels.